444242363242444 has 12 divisors (see below), whose sum is σ = 837225992264704. Its totient is φ = 205034936881104.

The previous prime is 444242363242369. The next prime is 444242363242477.

444242363242444 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (52), and also a Moran number because the ratio is a prime number: 8543122370047 = 444242363242444 / (4 + 4 + 4 + 2 + 4 + 2 + 3 + 6 + 3 + 2 + 4 + 2 + 4 + 4 + 4).

It is a junction number, because it is equal to n+sod(n) for n = 444242363242391 and 444242363242400.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4271561184972 + ... + 4271561185075.

Almost surely, 2^{444242363242444} is an apocalyptic number.

It is an amenable number.

444242363242444 is a deficient number, since it is larger than the sum of its proper divisors (392983629022260).

444242363242444 is a wasteful number, since it uses less digits than its factorization.

444242363242444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8543122370064 (or 8543122370062 counting only the distinct ones).

The product of its digits is 56623104, while the sum is 52.

The spelling of 444242363242444 in words is "four hundred forty-four trillion, two hundred forty-two billion, three hundred sixty-three million, two hundred forty-two thousand, four hundred forty-four".